What is the 1381st prime number?
The 1381st prime number is 11447. The next prime is 11467 (a gap of 20) and the one before is 11443.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 1381st one is 11447.
- 2
11447 is prime because no prime up to ā11447 ā 106.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1381st prime is close to 1381 Ć ln(1381) ā 9985, and here it is 11447.
- 4
11447 has no twin: neither 11445 nor 11449 is prime.
Primes around the 1381st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1378 | 11423 | 12 |
| 1379 | 11437 | 14 |
| 1380 | 11443 | 6 |
| 1381 | 11447 | 4 |
| 1382 | 11467 | 20 |
| 1383 | 11471 | 4 |
| 1384 | 11483 | 12 |
Questions
What is the 1381st prime number?
11447.
Which prime number is 11447?
11447 is the 1381st prime number.
What is the sum of the first 1381 primes?
7,365,138.